A modified Swift-Hohenberg equation
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Swift-Hohenberg equation, global attractorAbstrakt
We consider the initial-boundary value problem for a modified Swift-Hohenberg equation in space dimension $n\leq 7 $. Based on the semigroup theory, we formulate this problem as an abstract evolutionary equation with sectorial operator in the main part. We show that the semigroup generated by this problem admits a global attractor in the phase space $H^2(\Omega)\cap H^{1}_{0}(\Omega)$ and characterize the contents of the attractor.Pobrania
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2011-04-23
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KANIA, Maria B. A modified Swift-Hohenberg equation. Topological Methods in Nonlinear Analysis [online]. 23 kwiecień 2011, T. 37, nr 1, s. 165–176. [udostępniono 22.7.2024].
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